Comparing The reading ability of the kids

Instructions: A kindergarten teacher is interested in comparing the reading ability of the kids in her class to the national average. She administers a standardized reading test to her class. The national average on the test is 50, and the standard deviation is  σ (population SD) = 10.  MAKE SURE YOU SAVE YOUR RESPONSES TO THESE QUESTIONS. YOU WILL NEED THEM FOR THE DISCUSSION ASSIGNMENT THIS WEEK! 

Below are the scores that her sample of students got on the reading test: 

Your job is to determine if this sample (the average scores in this classroom) differ significantly from what you would expect given the national average.

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Flag question: Question 1

Question 1

State the null hypothesis

Group of answer choices

H0: The sample average is not different from the population average, or M = µ

H0: The sample average is different from the population average,, or M ≠ µ

Flag question: Question 2

Question 2

State the alternative hypothesis

Group of answer choices

H1: The sample average is not different from the population average, or M = µ

H1: The sample average is different from the population average,, or M ≠ µ

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Question 3

Indicate the level of risk used in psychology

Group of answer choices

The level of risk is .1

The level of risk is .05

The level of risk is .01

The level of risk is .5

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Question 4

Determine the best statistical test to use

Group of answer choices

Critical value test

T-test

Correlational test

ANOVA

One-sample Z test

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Question 5

First, you’ll have to calculate the SEM. Use the values provided and the formula in the book/lecture to calculate the SEM. Put your value below. Round your response out to three decimal places.

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Question 6

Now, Compute the test statistic (Use the formulas in the book / lecture to calculate the correct statistic). Round to three decimal places.

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Question 7

The value needed to reject the null hypothesis (the critical value) is ___________.

Group of answer choices

0.05

2.10

1.96

3.25

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Question 8

Does the obtained value exceed the critical value (that is, is the obtained value larger than the critical value)?

Group of answer choices

Yes

No

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Question 9

Based on your answer to the previous question, the decision is to ____________

Group of answer choices

Reject the null hypothesis

Fail to reject the null hypothesis

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Question 10

Write up your results as you would see it in a results section of an APA style empirical research paper.

Save a copy of your response to this question, you will need it for your discussion assignment!

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Question 11

The next school year. this kindergarten teacher has a select group of 6 readers who are struggling with learning to read from her class. She wants to see if this select group’s scores differ from the national average (remember the national average is 50 and the standard deviation is 10).

What is the z value for comparing this new sample to the population? Round your answer out to three decimal places.

Flag question: Question 12

Question 12

Does this advanced reading group significantly differ from the national average?

Group of answer choices

Yes

There is not enough information to answer this question

No

Flag question: Question 13

Question 13

Explain why you made the decision you did in the previous question (that is, explain why you believe it is or is not significantly different from the national average).